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Ricci-flat compactifications in superstring theory and Coxeter automorphisms. I

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Literature Cited

  1. M. B. Green and J. H. Schwarz, Nucl. Phys. B,181, 502 (1981);198, 252 (1982);198, 441 (1982); M. B. Creen, J. H. Schwarz, and L. Brink, Nucl. Phys. B,198, 474 (1982).

    Google Scholar 

  2. D. J. Gross, J. A. Harvey, E. Martinec, and R. Rohm, Nucl. Phys. B,256, 253 (1985).

    Google Scholar 

  3. P. Candelas, G. Horowitz, A. Strominger, and E. Witten, Nucl. Phys. B,258, 46 (1985).

    Google Scholar 

  4. E. Witten, Nucl. Phys.,268, 79 (1986).

    Google Scholar 

  5. E. Witten, Nucl. Phys. B,258, 75 (1985).

    Google Scholar 

  6. A. Strominger and E. Witten, Commun. Math. Phys.,101, 341 (1985); A. Strominger, “Topology of superstring compactification,” Preprint HSF-ITP-85-109, Santa-Barbara (1985); “Yukawa couplings in superstring compactification,” Preprint HSF-ITP-85-105, Santa-Barbara (1985).

    Google Scholar 

  7. S. T. Yau, in: Proceedings of the Argonne Symposium on Anomalies, Geometry and Topology (ed. Bardeen), World Scientific (1985).

  8. D. G. Markushevich, M. A. Ol'shanetskii, and A. M. Perelomov, Pis'ma Zh. Eksp. Teor. Fiz., No. 43, 59 (1986); D. G. Markushevich, M. A. Olshanetsky, and A. M. Perelomov, “Description of a class of superstring compactifications related to semisimple Lie algebras,” Preprint ITEP-116, Institute of Theoretical and Experimental Physics, Moscow (1986); “Resolution of singularities in superstring compactification (toric method), Preprint ITEP-138, Institute of Theoretical and Experimental Physics, Moscow (1986).

    Google Scholar 

  9. P. Griffiths and P. Harris, Principles of Algebraic Geometry, Wiley-Interscience, New York (1978).

    Google Scholar 

  10. L. Dixon, J. A. Harvey, E. Vafa, and E. Witten, Nucl. Phys. B,261, 678 (1985);274, 285 (1986).

    Google Scholar 

  11. N. Bourbaki, Groupes et Algebres de Lie, Chaps. 4–6, Hermann, Paris (1968); V. Kac, Adv. Math.,30, 85 (1978).

    Google Scholar 

  12. S. T. Yau, Commun. Pure Appl. Math.,31, 339 (1978).

    Google Scholar 

  13. A. Beauville, J. Diff. Geom.,18, 755 (1983).

    Google Scholar 

  14. V. L. Popov, “Discrete complex reflexion groups,” Commun. of Math. Inst., No. 15, Utrecht (1982); G. C. Shepard and J. A. Todd, Can. J. Math.,6, 274 (1954).

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Institute of Problems in Mechanics, USSR Academy of Sciences; Institute of Theoretical and Experimental Physics. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 77, No. 2, pp. 212–223, November, 1988.

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Markushevich, D.G., Ol'shanetskii, M.A. & Perelomov, A.M. Ricci-flat compactifications in superstring theory and Coxeter automorphisms. I. Theor Math Phys 77, 1152–1160 (1988). https://doi.org/10.1007/BF01016382

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